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math.FA2018
Coincidence points of Mappings in Banach Spaces
Oleg Zubelevich
In this article we prove an existence theorem for coincidence points of mappings in Banach spaces. This theorem generalizes the Kantorovich fixed point theorem.
math.DS2018
On Periodic Solutions to Lagrangian System With Singularities
Oleg Zubelevich
A Lagrangian system with singularities is considered. The configuration space is a non-compact manifold that depends on time. A set of periodic solutions has been found.